Few-nucleon transfer reactions on deformed nuclei Page: 4 of 28
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state for the target and residual nuclei. This ratio taken to be a measure
of the deformation of the ground state. That is to say, one can roughly
divide nuclei in the three different classes [cf. ref. 17)]. "magic" nuclei
with R4 < 1.8, "spherical" nuclei with 1.8 < R4 < 2.2 and "deformed" nuclei
with 2.2 < R^ < 3.3. The figure illustrates that spherical nuclei show a
strong increase in the a-spectroscopic strength S or in the cx-decay reduced
width y2 as the number of valence neutrons increases. However, if the
addition of more valence neutrons is associated with a nucleus whose R4 value
is 2.5 or larger (i.e. a nucleus with a deformed ground-state) the a-
spectroscopic ground-state strength drops quite fast. The strong increase of
the strength for the (d,^Li) reaction on the tellerlum isotopes, and the
increase of the ground-state reduced widths for the a-decay of the polonium
isotopes, which in both cases is correlated with an increase of the number of
valence nucleons, has been attributed to the microscopic (shell model)
structure of proton- and neutron pairs in the initial and final nuclei [see
refs. 18,16)^ respectively]. In the spherical nuclei one usually finds a
strong population of the ground state and the 2j+ and 3^- states only. In
deformed nuclei, on the other hand, the strength for the (d,^Li) reaction is
distributed over many levels. It is interesting to see whether this
"redistribution of strengths" is related to a sum-rule limit. It is well
known that sum-rule models play an important role in the interpretation of
one-nucleon transfer data, but until now only a few examples have been
reported for sum-rule models for two-nucleon transfer reactions [see Birse^),
and references therein]. The only systematic study of two-nucleon transfer
data was presented by Lanford20) who found good agreement between the Bayman-
Clement sum-rule model and (p,t) data obtained on even-A Pb isotopes. For a-
transfer reactions no sum-rule model has been proposed until now, but in view
of the strength redistribution mentioned before it is a challenging study.
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van den Berg, A.M. Few-nucleon transfer reactions on deformed nuclei, article, January 1, 1985; Illinois. (digital.library.unt.edu/ark:/67531/metadc1093917/m1/4/: accessed January 21, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.